diff --git a/工具v2/批量收录题目.py b/工具v2/批量收录题目.py index b261b0e5..c3554755 100644 --- a/工具v2/批量收录题目.py +++ b/工具v2/批量收录题目.py @@ -1,8 +1,8 @@ #修改起始id,出处,文件名 -starting_id = 23638 #起始id设置, 来自"寻找空闲题号"功能 -raworigin = "测试题目" #题目来源的前缀(中缀在.tex文件中) +starting_id = 23660 #起始id设置, 来自"寻找空闲题号"功能 +raworigin = "自拟题目" #题目来源的前缀(中缀在.tex文件中) filename = r"临时文件\新题比对.tex" #题目的来源.tex文件 -editor = "王伟叶" #编辑者姓名 +editor = "毛培菁" #编辑者姓名 IndexDescription = "" #设置是否使用后缀, 留空("")则不用后缀, 不留空则以所设字符串作为后缀起始词, 按.tex文件中的顺序编号 idlistpath = r"文本文件\新题收录列表.txt" diff --git a/工具v2/文本文件/新题收录列表.txt b/工具v2/文本文件/新题收录列表.txt index cc23060f..b3536cae 100644 --- a/工具v2/文本文件/新题收录列表.txt +++ b/工具v2/文本文件/新题收录列表.txt @@ -4,3 +4,6 @@ 20240124-161545 023652:023659 +20240124-162441 +023660:023664,040325,023665 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index a68a753c..a0ca0cd9 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -639396,6 +639396,126 @@ "space": "4em", "unrelated": [] }, + "023660": { + "id": "023660", + "content": "若函数 $f(x)=x^3+a x^2-a x$ 在 $\\mathbf{R}$ 上是严格增函数, 则实数 $a$ 的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023661": { + "id": "023661", + "content": "若函数 $f(x)=-\\dfrac{1}{3}x^3+a x$ 有三个单调区间, 则实数 $a$ 的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023662": { + "id": "023662", + "content": "若函数 $f(x)=\\dfrac{1}{2}x^2-16 \\ln 2 x$ 在区间 $[a-\\dfrac{1}{2}, a+\\dfrac{1}{2}]$ 上严格减, 则实数 $a$ 的取值范围是\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023663": { + "id": "023663", + "content": "若函数 $f(x)=\\dfrac{x-1}{x}-\\ln x$, 则 $f(x)$ 的单调增区间为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023664": { + "id": "023664", + "content": "已知函数 $f(x)=\\mathrm{e}^{2 x}-a(x+2)$. 当 $a=2$ 时, $f(x)$ 的单调增区间为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "023665": { + "id": "023665", + "content": "已知函数 $f(x)=k x^3+3(k-1) x^2-k^2+1$($k>0$).\\\\\n(1) 若 $f(x)$ 的单调减区间是 $(0,4)$, 求实数 $k$ 的值;\\\\\n(2) 若 $f(x)$ 在 $(0,4)$ 上为严格减函数, 求实数 $k$ 的取值范围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20240124\t毛培菁" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, "030001": { "id": "030001", "content": "若$x,y,z$都是实数, 则:(填写``\\textcircled{1} 充分非必要、\\textcircled{2} 必要非充分、\\textcircled{3} 充要、\\textcircled{4} 既非充分又非必要''之一)\\\\\n(1) ``$xy=0$''是``$x=0$''的\\blank{50}条件;\\\\\n(2) ``$x\\cdot y=y\\cdot z$''是``$x=z$''的\\blank{50}条件;\\\\\n(3) ``$\\dfrac xy=\\dfrac yz$''是``$xz=y^2$''的\\blank{50}条件;\\\\\n(4) ``$|x |>| y|$''是``$x>y>0$''的\\blank{50}条件;\\\\\n(5) ``$x^2>4$''是``$x>2$'' 的\\blank{50}条件;\\\\\n(6) ``$x=-3$''是``$x^2+x-6=0$'' 的\\blank{50}条件;\\\\\n(7) ``$|x+y|<2$''是``$|x|<1$且$|y|<1$'' 的\\blank{50}条件;\\\\\n(8) ``$|x|<3$''是``$x^2<9$'' 的\\blank{50}条件;\\\\\n(9) ``$x^2+y^2>0$''是``$x\\ne 0$'' 的\\blank{50}条件;\\\\\n(10) ``$\\dfrac{x^2+x+1}{3x+2}<0$''是``$3x+2<0$'' 的\\blank{50}条件;\\\\\n(11) ``$0